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Simplifying -22 + 4r = 9(6r + 7) Reorder the terms: -22 + 4r = 9(7 + 6r) -22 + 4r = (7 * 9 + 6r * 9) -22 + 4r = (63 + 54r) Solving -22 + 4r = 63 + 54r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-54r' to each side of the equation. -22 + 4r + -54r = 63 + 54r + -54r Combine like terms: 4r + -54r = -50r -22 + -50r = 63 + 54r + -54r Combine like terms: 54r + -54r = 0 -22 + -50r = 63 + 0 -22 + -50r = 63 Add '22' to each side of the equation. -22 + 22 + -50r = 63 + 22 Combine like terms: -22 + 22 = 0 0 + -50r = 63 + 22 -50r = 63 + 22 Combine like terms: 63 + 22 = 85 -50r = 85 Divide each side by '-50'. r = -1.7 Simplifying r = -1.7
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